主題:Dimension and Measure of the Range and Graph of Space-Time Anisotropic Gaussian Random Fields
主講人:陳振龍(浙江工商大學(xué)教授)
時(shí)間:2023.05.23 16:00-17:00
地點(diǎn):南山1號(hào)樓415會(huì)議室
Abstract: Letbe a centered space-time anisotropic Gaussian random field with values in with stationary increments, whose components are independent but may not be identically distributed. Under certain mild conditions, we determine the exact Hausdorff measure functions, Hausdorff and packing dimensions for the range setand graph set. Our results extend corresponding results for fractional Brownian motion, time-anisotropic and space-isotropic Gaussian random fields.
主講人簡(jiǎn)介:陳振龍,,教授,,博士生導(dǎo)師,浙江省數(shù)學(xué)學(xué)會(huì)常務(wù)理事,中國(guó)概率統(tǒng)計(jì)學(xué)會(huì)理事,,入選湖北省普通高??缡兰o(jì)學(xué)術(shù)骨干,,湖北省151新世紀(jì)高層次人才,浙江工商大學(xué)西湖學(xué)者拔尖人才,,國(guó)家一流專業(yè)和一流課程負(fù)責(zé)人,。主要研究領(lǐng)域有:隨機(jī)過(guò)程與風(fēng)險(xiǎn)管理、隨機(jī)場(chǎng)與隨機(jī)分形等,。主持國(guó)家自然科學(xué)面上基金,,教育部人文社科基金,,其它省部級(jí)科研項(xiàng)目多項(xiàng)。在國(guó)內(nèi)外學(xué)術(shù)刊物發(fā)表學(xué)術(shù)論文六十多篇,。